Question
a family bought seven items at the store costing the amount below. The range of the cost is $31.50. What minimum data value is missing from the set? ($3.42, $11.72, $8.34, $?, $2.50, $6, $32.12)
Answers
GPT-4o mini
To find the minimum data value that is missing from the set, we can use the formula that relates the range of a set of data. The range is calculated as the difference between the maximum value and the minimum value:
\[
\text{Range} = \text{Maximum} - \text{Minimum}
\]
From the problem, we know that the range is $31.50. Given the costs of the items, the maximum value is $32.12. We can denote the missing minimum value as \( x \). Therefore, we can set up the equation as follows:
\[
31.50 = 32.12 - x
\]
To solve for \( x \), we rearrange the equation:
\[
x = 32.12 - 31.50 = 0.62
\]
Thus, the minimum data value that is missing from the set is \( \boxed{0.62} \).
\[
\text{Range} = \text{Maximum} - \text{Minimum}
\]
From the problem, we know that the range is $31.50. Given the costs of the items, the maximum value is $32.12. We can denote the missing minimum value as \( x \). Therefore, we can set up the equation as follows:
\[
31.50 = 32.12 - x
\]
To solve for \( x \), we rearrange the equation:
\[
x = 32.12 - 31.50 = 0.62
\]
Thus, the minimum data value that is missing from the set is \( \boxed{0.62} \).